All categories

2 years ago

Find product of :(2x-y)(2x+3y).

Mathematics

1 answer:

Ierofanga [76]2 years ago

7 0

Answer: 4x² + 4xy - 3y²

Concept:

When encountering questions that ask for simplifying algebraic expressions, using the FOIL method would be easier:

First, which means multiplying the first terms together;
Outer, which means that we multiply the outermost terms when the binomials are placed side by side;
Inner, which means multiply the innermost terms together;
Last, which means that we multiply the last term in each binomial together.

Solve:

Given

(2x - y) (2x + 3y)

Expand parentheses and apply the FOIL method

=4x² + 6xy - 2xy - 3y²

Combine like terms

=4x² + (6xy - 2xy) - 3y²

= $\boxed{4x^2+4xy-3y^2}$

Hope this helps!! :)

Please let me know if you have any questions

You might be interested in

Explain why -4 is not a real number but -8 is two equations below of what they look like

Margarita [4]

-4 isn't a real number because there is no square root of -4. However, there is a cube root of -8, because -2 * -2 * -2 = -8.

7 0

3 years ago

The formula below gives the sum of the degrees, S, of the interior angles of a polygon. If n represents the number of sides, whi

Helga [31]

Answer:

The equation representing the value of n is, $n=\frac{S}{180^{\text{o}}}+2$ .

Step-by-step explanation:

The formula to compute the sum of the degrees, S, of the interior angles of a polygon is:

$S=(n-2)\times 180^{\text{o}}$

Compute the equation of n as follows:

$S=(n-2)\times 180^{\text{o}}$

$\frac{S}{180^{\text{o}}}=(n-2)$

$n=\frac{S}{180^{\text{o}}}+2$

Thus, the equation representing the value of n is, $n=\frac{S}{180^{\text{o}}}+2$ .

3 0

3 years ago

A side of 6 feet, and a 120° angle A. One B. None. C. Many

pshichka [43]

Answer:

C. Many ang sagot............

5 0

2 years ago

Which statement describes a unit rate?

Artyom0805 [142]

Answer:

Step-by-step explanation:

Because it is saying he drove 45 miles per hour.

3 0

2 years ago

Read 2 more answers

Joseph wants to cover a rectangular box with wrapping paper. The length of the box is 2 feet, its width is 1 foot, and its heigh

vesna_86 [32]

We need to find the surface area of the box. For this, we will do 2(L×W) + 2(L×H) + 2(H×W); Since each has a corresponding side, we multiply it by 2.
Let's find it with plugging it in.
2(2×1) + 2(2×1) + 2(1×1)
4+4+2=10
Now the surface area is 10 ft², let's just multiply .8 by that to find the price.
.8×10= 8
It'll cost $8 for Joseph to cover the box with wrapping paper.
Tell me if this helps!!

6 0

2 years ago

Find product of :(2x-y)(2x+3y).​

Find product of :(2x-y)(2x+3y).